TL;DR: No. You do not need residency, a visa, or a DNI to buy property in Argentina. You can buy as a foreigner on a tourist entry. The only thing you must have is a CDI, a tax identification number for non-residents, which any Argentine accountant obtains with your passport.
This is one of the biggest misconceptions foreign buyers arrive with. Let me clear it up in a single list.
That is the entire list. Five things you can stop worrying about, four things to actually arrange.
Can I buy on a tourist visa? Yes. Buying property does not require any particular immigration status.
Does buying property give me residency? Not automatically. Property ownership and immigration are separate tracks in Argentina. Some buyers do pursue residency for other reasons, but the purchase itself does not depend on it.
How long does a CDI take? Days to a couple of weeks when started early. Any contador (accountant) handles it as routine work, often before you arrive.
Is the CDI expensive? No. It is an administrative item; the real cost is the accountant's modest fee.
Do I need an Argentine bank account? It helps for funding the purchase, and a foreign client can open one remotely by power of attorney in as little as 48 hours through the right banking partner. But the account is about moving money, not about your right to buy.
The belief that you must become a resident to own property in Argentina stops people who could have bought years earlier. It is simply not true. A foreigner can buy with the same ownership rights as a local, on a tourist entry, with one easily obtained tax ID. The CDI is the only document that gates the purchase, and it is the easiest one to get.
We arrange the CDI as a default first step for every foreign buyer. If you were holding off because you thought residency came first, it does not. The first call is free, and we will tell you exactly what your situation requires.
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Thirty minutes. Free. In English. We answer everything in this note plus everything not in it.